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Finding the Fourth Proportional to 210,203.97, 290,087.64 and 114,716.82

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Solution

The fourth proportional to 210,203.97, 290,087.64 and 114,716.82 is: 158,312.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,203.97 : 290,087.64 = 114,716.82 : x
  2. Step 2: Convert to fraction form
    210,203.97/290,087.64 = 114,716.82/x
  3. Step 3: Cross multiply
    210,203.97x = 290,087.64 × 114,716.82
  4. Step 4: Simplify right side
    210,203.97x = 33,277,931,582.10
  5. Step 5: Solve for x
    x = 33,277,931,582.10/210,203.97
  6. Step 6: Final answer
    x = 158,312.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.